Table 9 The MLEs and corresponding L, \(\mathcal {A}_1\) and \(\mathcal {B}_1\) values for different fitting models using second data.

From: Modified generalized Weibull distribution: theory and applications

Distributions

Parameters(SE)

L

\(\mathcal {A}_1\)

\(\mathcal {B}_1\)

\({\widehat{\lambda }}\)

\({\widehat{\theta }}\)

\({\widehat{\alpha }}\)

\({\widehat{\beta }}\)

MPGW

1.77E11

296.2071

0.0029

0.1266

\(-89.23162\)

186.4632

195.5699

(46316.7)

(46.116)

(0.0032747)

(0.0452335)

   

PGW

0.8170

2.8420

0.3880

–

\(-93.53814\)

193.0763

199.9063

(0.412897)

(0.621165)

(0.135424)

    

AMW

0.3710

1.8254

0.2832

1.10E-8

\(-95.78981\)

199.5796

208.6863

(0.270093)

(0.158711)

(0.0540902)

(0.0000231)

   

MEW

154.8199

0.0005

–

1.8255

\(-95.78984\)

197.5797

204.4097

(217.692)

(0.00098)

 

(0.469472)

   

EW

0.1643

–

0.3373

1.7175

\(-95.56381\)

197.1276

203.9576

(0.280029)

 

(0.117196)

(0.237983)

   

FW

–

–

0.3824

1.4381

\(-102.4335\)

208.8670

213.4203

  

(0.036711)

(0.178066)

   

KW

0.7665

0.9913

3.1103

1.7319

\(-94.0656\)

196.1312

205.2379

(0.702075)

(1.04436)

(3.86848)

(5.52747)

   

BW

0.8673

1.2907

2.3572

0.5414

\(-94.0368\)

196.0735

205.1802

(0.616053)

(0.454981)

(1.37574)

(0.871254)

  Â